(x^20-y^14)=

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Solution for (x^20-y^14)= equation:


Simplifying
(x20 + -1y14) = 0

Remove parenthesis around (x20 + -1y14)
x20 + -1y14 = 0

Solving
x20 + -1y14 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y14' to each side of the equation.
x20 + -1y14 + y14 = 0 + y14

Combine like terms: -1y14 + y14 = 0
x20 + 0 = 0 + y14
x20 = 0 + y14
Remove the zero:
x20 = y14

Simplifying
x20 = y14

Combine like terms: y14 + -1y14 = 0
x20 + -1y14 = 0

Factor a difference between two squares.
(x10 + y7)(x10 + -1y7) = 0

Subproblem 1

Set the factor '(x10 + y7)' equal to zero and attempt to solve: Simplifying x10 + y7 = 0 Solving x10 + y7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y7' to each side of the equation. x10 + y7 + -1y7 = 0 + -1y7 Combine like terms: y7 + -1y7 = 0 x10 + 0 = 0 + -1y7 x10 = 0 + -1y7 Remove the zero: x10 = -1y7 Simplifying x10 = -1y7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x10 + -1y7)' equal to zero and attempt to solve: Simplifying x10 + -1y7 = 0 Solving x10 + -1y7 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y7' to each side of the equation. x10 + -1y7 + y7 = 0 + y7 Combine like terms: -1y7 + y7 = 0 x10 + 0 = 0 + y7 x10 = 0 + y7 Remove the zero: x10 = y7 Simplifying x10 = y7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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